Finding the Fourth Proportional to 1,152.04, 1,589.16 and 709.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.04 : 1,589.16 = 709.60 : x
2. Step 2: Convert to fraction form
   1,152.04/1,589.16 = 709.60/x
3. Step 3: Cross multiply
   1,152.04x = 1,589.16 × 709.60
4. Step 4: Simplify right side
   1,152.04x = 1,127,667.94
5. Step 5: Solve for x
   x = 1,127,667.94/1,152.04
6. Step 6: Final answer
   x = 978.84